document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1016960>Question 1016960</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A particular style of sunglasses costs the retailer $80 per pair.  At what price should the retailer mark them so he can sell them at a 20% discount off the selling price and still make 30% profit on his cost? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #633308 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=633308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the equations used would be:\r<BR>\n" );
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document.write( "p = s - c\r<BR>\n" );
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document.write( "this means profit = sale price minus cost\r<BR>\n" );
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document.write( "s = .8 * m\r<BR>\n" );
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document.write( "this means sale price is 80% of the markup price.<BR>\n" );
document.write( "sale price is 80% of the markup price because if you subtract 20% of the markup price from the markup price, you are left with 805 of the markup price.\r<BR>\n" );
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document.write( "p = s - c becomes:\r<BR>\n" );
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document.write( "p = .8 * m - c\r<BR>\n" );
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document.write( "you know that p = .3 * c\r<BR>\n" );
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document.write( "that means that the profit is equal to 30% of the cost.\r<BR>\n" );
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document.write( "p = .8 * m - c becomes .3 * c = .8 * m - c\r<BR>\n" );
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document.write( "add c to both sides of this equation to get .3 * c + c = .8 * m\r<BR>\n" );
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document.write( "combine like terms to get 1.3 * c = .8 * m\r<BR>\n" );
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document.write( "divide both sides of this equation by .8 to get (1.3/.8) * c = m.\r<BR>\n" );
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document.write( "solve for m to get m = (1.3/.8) * c = 1.625 * c.\r<BR>\n" );
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document.write( "you know that c = 80, therefore m = 1.625 * 80 = 130.\r<BR>\n" );
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document.write( "the markup price needs to be 130 dollars.<BR>\n" );
document.write( "the sale price is 20% off of the markup price.<BR>\n" );
document.write( "this makes the sale price equal to 130 - 26 = 104 dollars.<BR>\n" );
document.write( "the cost is 80 dollars.<BR>\n" );
document.write( "the profit is 104 - 80 = 24 dollars.<BR>\n" );
document.write( "24/80 = .3 = 30% of 80.<BR>\n" );
document.write( "the profit is 30% of the cost.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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